Hamiltonian model of heat conductivity and Fourier law

被引：7
|
作者：
Gruber, C [1 ]
Lesne, A
机构：
[1] Ecole Polytech Fed Lausanne, Inst Theorie Phenomenes Phys, CH-1015 Lausanne, Switzerland
[2] Univ Paris 06, Phys Theor Liquides Lab, F-75252 Paris, France
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2005年 / 351卷 / 2-4期
关键词：
Fourier law; heat conductivity; nonequilibrium states; thermodynamics of irreversible processes; entropy production;
D O I：
10.1016/j.physa.2004.12.022
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We investigate the stationary nonequilibrium states of a quasi one-dimensional system of heavy particles whose interaction is mediated by purely elastic collisions with light particles, in contact at the boundary with two heat baths with fixed temperatures T+ and T-. It is shown that Fourier law is satisfied with a thermal conductivity proportional to root T(x) where T(x) is the local temperature. Entropy flux and entropy production are also investigated. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：358 / 372
页数：15
相关论文
共 50 条
  • [41] The conserved Penrose-Fife system with Fourier heat flux law
    Rocca, E
    Schimperna, G
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 53 (7-8) : 1089 - 1100
  • [42] Violation of Fourier's law and anomalous heat diffusion in silicon nanowires
    Yang, Nuo
    Zhang, Gang
    Li, Baowen
    NANO TODAY, 2010, 5 (02) : 85 - 90
  • [43] Fourier's law of heat transfer and its implication to cell motility
    Kawaguchi, T
    Honda, H
    Hatori, K
    Imai, E
    Matsuno, K
    BIOSYSTEMS, 2005, 81 (01) : 19 - 24
  • [44] On a higher-gradient generalization of Fourier's law of heat conduction
    Christov, C. I.
    APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS '33, 2007, 946 : 11 - 22
  • [45] Non-Fourier heat-flux law for diatomic gases
    Ali, AH
    JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 2000, 14 (02) : 281 - 283
  • [46] Heat transfer and Fourier's law in off-equilibrium systems
    Garriga, A
    Ritort, F
    EUROPEAN PHYSICAL JOURNAL B, 2001, 21 (01): : 115 - 120
  • [47] ENERGY-TRANSPORT AND THE FOURIER HEAT LAW IN CLASSICAL-SYSTEMS
    CASATI, G
    FOUNDATIONS OF PHYSICS, 1986, 16 (01) : 51 - 61
  • [48] Hamiltonian Monte Carlo algorithm for the characterization of hydraulic conductivity from the heat tracing data
    Saley, A. Djibrilla
    Jardani, A.
    Ahmed, A. Soueid
    Raphael, A.
    Dupont, J. P.
    ADVANCES IN WATER RESOURCES, 2016, 97 : 120 - 129
  • [49] Role of Nanofluid and Hybrid Nanofluid for Enhancing Thermal Conductivity towards Exponentially Stretching Curve with Modified Fourier Law Inspired by Melting Heat Effect
    Zeeshan
    Ahammad, N. Ameer
    Shah, Nehad Ali
    Chung, Jae Dong
    MATHEMATICS, 2023, 11 (05)
  • [50] Computation of nonstationary heat conductivity under Fourier low numbers (Fo<0.001)
    Loginov, VS
    Dorokhov, AR
    Repkina, NY
    PISMA V ZHURNAL TEKHNICHESKOI FIZIKI, 1997, 23 (01): : 22 - 25
12345